Answer:
3(x-25)
Step-by-step explanation:
Answer:
63gm
Step-by-step explanation:
7 gold : 4 silver
It gives you 36 silver.
to get from 4 silver to 36 silver you multiply by 9.
you multiply the gold by the same amount 9.
7*9= 63
you can see that for every 7 gold pieces there is 4 silver pieces. they keep piling up the pieces until there's 36 silver pieces. now they wanna know how much gold there is.
Answer:
5c
Step-by-step explanation:
a=2d +5r = 57
a
2d
5r
57
She will drive a total of 247.5 you have to multiply 4.5 times 55 since the question asked how many miles will she drive
![(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}](https://tex.z-dn.net/?f=%288a%5E%7B-3%7D%29%5E%7B%5Cfrac%7B-2%7D%7B3%7D%7D%20%3D%20%5Cfrac%7Ba%5E2%7D%7B4%7D)
<em><u>Solution:</u></em>
<em><u>Given that,</u></em>
![(8a^{-3})^{\frac{-2}{3}](https://tex.z-dn.net/?f=%288a%5E%7B-3%7D%29%5E%7B%5Cfrac%7B-2%7D%7B3%7D)
We have to write in simplest form
<em><u>Use the following law of exponent</u></em>
![(a^m)^n = a^{mn}](https://tex.z-dn.net/?f=%28a%5Em%29%5En%20%3D%20a%5E%7Bmn%7D)
Using this, simplify the given expression
![(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^{ -3 \times \frac{-2}{3}}\\\\Simplifying\ we\ get\\\\(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^2\\\\We\ know\ that\ 8 = 2^3\\\\Therefore\\\\(8a^{-3})^{\frac{-2}{3}} =2^3^{\frac{-2}{3}} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} =2^{-2} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}](https://tex.z-dn.net/?f=%288a%5E%7B-3%7D%29%5E%7B%5Cfrac%7B-2%7D%7B3%7D%7D%20%3D%208%5E%7B%5Cfrac%7B-2%7D%7B3%7D%7D%20%5Ctimes%20a%5E%7B%20-3%20%5Ctimes%20%5Cfrac%7B-2%7D%7B3%7D%7D%5C%5C%5C%5CSimplifying%5C%20we%5C%20get%5C%5C%5C%5C%288a%5E%7B-3%7D%29%5E%7B%5Cfrac%7B-2%7D%7B3%7D%7D%20%3D%208%5E%7B%5Cfrac%7B-2%7D%7B3%7D%7D%20%5Ctimes%20a%5E2%5C%5C%5C%5CWe%5C%20know%5C%20that%5C%208%20%3D%202%5E3%5C%5C%5C%5CTherefore%5C%5C%5C%5C%288a%5E%7B-3%7D%29%5E%7B%5Cfrac%7B-2%7D%7B3%7D%7D%20%3D2%5E3%5E%7B%5Cfrac%7B-2%7D%7B3%7D%7D%20%5Ctimes%20a%5E2%5C%5C%5C%5C%288a%5E%7B-3%7D%29%5E%7B%5Cfrac%7B-2%7D%7B3%7D%7D%20%3D2%5E%7B-2%7D%20%5Ctimes%20a%5E2%5C%5C%5C%5C%288a%5E%7B-3%7D%29%5E%7B%5Cfrac%7B-2%7D%7B3%7D%7D%20%3D%20%5Cfrac%7Ba%5E2%7D%7B4%7D)
Thus the given expression is simplified